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Algebra Baldor
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Solve the rational equation $\frac{1}{3}=\frac{x-4}{6-x}$

Step-by-step Solution

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Solution

Final answer to the problem

$x=\frac{9}{2}$
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Step-by-step Solution

How should I solve this problem?

  • Choose an option
  • Solve for x
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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1

Apply fraction cross-multiplication

Learn how to solve problems step by step online.

$6-x=3\left(x-4\right)$

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Unlock the first 3 steps of this solution

Learn how to solve problems step by step online. Solve the rational equation 1/3=(x-4)/(6-x). Apply fraction cross-multiplication. Solve the product 3\left(x-4\right). Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Subtract the values -12 and -6.

Final answer to the problem

$x=\frac{9}{2}$

Exact Numeric Answer

$x=4.5$

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

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Function Plot

Plotting: $\frac{1}{3}+\frac{-x+4}{6-x}$

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Answer Assistant

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Got a different answer? Verify it!

Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

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